The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  3  3  3  3  3  3
 0  9  0  9  0  9 18 18 18  0  0  9  9  0  9  9 18 18  0  9 18
 0  0  9 18 18  9  0  9 18  0  9 18  9 18 18  9  0  9 18  0 18

generates a code of length 21 over Z27 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+30x^40+178x^42+18x^43+8x^45+6x^49+2x^51

The gray image is a code over GF(3) with n=189, k=5 and d=120.
This code was found by Heurico 1.16 in 0.00224 seconds.